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Global Existence of Smooth Solutions for the One-Dimensional Full Euler System for a dusty gas

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Communications on Applied Mathematics and Computation 2023年第3期5卷 1235-1246页

作者： Geng Lai Yingchun Shi Department of Mathematics Shanghai UniversityShanghai 200444China

We study the existence of global-in-time classical solutions for the one-dimensional nonisentropic compressible Euler system for a dusty gas with large initial *** the characteristic decomposition method proposed by Li et al.(Commun Math Phys 267:1–12,2006),we derive a group of characteristic decompositions for the *** these characteristic decompositions,we find a sufficient condition on the initial data to ensure the existence of global-in-time classical solutions.

关键词： Compressible Euler system dusty gas Classical solution The method of characteristic decomposition

NON-STATIONARY EFFECTS IN HYPERSONIC NONUNIFORM dusty-gas FLOW PAST A BLUNT BODY

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Acta Mechanica Sinica 1999年第3期15卷 201-214页

作者： A.N.Osiptsov A.V.Rozin 王柏懿 Institute of Mechanics Lomonosov Moscow State University119899 MoscowRussia Institute of Mechanics Chinese Academy of SciencesBeijing 100080China

In the framework of the two-fluid model, a hypersonic flow of a nonuniform dusty gas with low inertial (non-depositing) particles around a blunt body is considered. The particle mass concentration is assumed to be small, so that the effect of particles on the carrier phase is significant only inside the boundary layer where the particles accumulate. Stepshaped and harmonic nonuniformities of the particle concentration ahead of the bow shock wave are considered and the corresponding nonstationary distributions of the particle concentration in the shock layer are studied. On the basis of numerical study of nonstationary two-phase boundary layer equations derived by the matched asymptotic expansion method, the effects of free-stream particle concentration nonuniformities on the thermal flux, and the friction coefficient in the neighborhood of stagnation point are investigated, in particular, the most “dangerous” nonuniformity periods are found.

关键词： dusty gas hypersonic flow blunt body non-stationary effects

FLOW PROPERTIES OF A dusty-gas POINT SOURCE IN A SUPERSONIC FREE STREAM

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Applied Mathematics and Mechanics(English Edition) 2003年第8期24卷 928-935页

作者：王柏懿 Alexander N.Osiptsov Misha A.Teverovshii LNM Institute of Mechanics Chinese Academy of SciencesBeijing 100080 P.R.China Institute of Mechanics Lomonosov Moscow State UniversityMoscow 119899 Russia Institute of Mechanics Lomonosov Moscow State UniversityMoscow 119899 Russiay using Lagrangian method the flow properties of a dusty-gas point source in a supersonic free stream were studied and the particle parameters in the near-symmetry-axis region were obtained . It is demonstrated that fairly inertial particles travel along oscillating and intersecting trajectories between the bow and termination shock waves . In this region formation of " mufti- layer structure" in panicle distribution with alternating low- and high density layers is revealed. Moreover sharp accumulation of particles occurs near the envelopes of particle trajectories .

By using Lagrangian method, the flow properties of a dusty-gas point source in a supersonic free stream were studied and the particle parameters in the near-symmetry-axis region were obtained . It is demonstrated that fairly inertial particles travel along oscillating and intersecting trajectories between the bow and termination shock waves . In this region, formation of ' mufti- layer structure' in panicle distribution with alternating low- and high density layers is revealed. Moreover, sharp accumulation of particles occurs near the envelopes of particle trajectories .

关键词： dusty gas supersonic flow point source particle inertia trajectory intersection multi-layer structure

Heat transfer in supersonic dusty-gas flow past a blunt body with inertial particle deposition effect

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Progress in Natural Science:Materials International 2002年第12期 9-14页

作者： Alexander Nikolaevich OSIPTSOV,Lidiya Aleksandrovha EGOROVA,Vladimir Igorevich SAKHAROV Institute of Mechanics Lomonosov Moscow State University Moscow 119899 Russia Institute of Mechanics Lomonosov Moscow State University Moscow 119899 Russia Institute of Mechanics Lomonosov Moscow State University Moscow 119899 Russia

Heat transfer in a supersonic steady flow of a dilute dusty-gas past a sphere is considered at large and moderate Reynolds numbers. For the regime of inertial particle deposition on the frontal surface of the body, a parametric study of maximum increase in the particle-induced heat flux at the stagnation point is performed over a wide range of the Reynolds number, the particle inertia parameter, the ratio of the phase specific heats, and the body surface temperature.

关键词： heat transfer intensification mechanism supersonic flow dusty gas blunt body inertial particle deposition.

Shock wave diffraction and reflection around a dusty square cavity

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Progress in Natural Science:Materials International 2001年第4期11卷 12-18页

作者：王柏懿王超戚隆溪 Beijing 100080 China Chinese Academy of Sciences Institute of Mechanics

The diffraction and reflection of planar shock wave around a dusty square cavity is investigated numerically , which is embedded in the flat bottom surface of a two-dimensional channel, and the induced gas-particle two-phase flow. The wave patterns at different times are obtained for three different values of the particle diameter. The computational results show that the existence of particles affects appreciably the shock wave diffraction and cavity flow.

关键词： shock wave diffraction reflection dusty gas cavity flow.

FLAT-PLATE BOUNDARY-LAYER FLOWS INDUCED BY dusty SHOCK WAVE

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Applied Mathematics and Mechanics(English Edition) 1996年第5期17卷 437-444页

作者：王柏懿陶锋 Institute of Mechanics Chinese Academy of Sciences Beijing P. R. China

When a dusty shock wave propagates along a flat plate, laminar boundary-layer flows are formed over the solid wall. The induced boundary layer problem is numerically investigated in the present paper. Using a two-continuum medium and twoway coupling model, the governing equations for this two-phase flow system are given and then solved by the finite difference method. The calculation results indicate that the post-shock flow field is characterized by relaxation phenomenon. The effects of the relaxation structure Of the dusty shock wave on the boundary layer are discussed in detail.

关键词： dusty gas shock wave boundary layer relaxation structure

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Communications in Theoretical Physics 2018年第8期69卷 197-208页

作者： P.K.Sahu Department of Mathematics Government Shyama Prasad Mukharjee College Sitapur-497111 Sarguja University

Similarity solution for a spherical shock wave with or without gravitational field in a dusty gas is studied under the action of monochromatic radiation. It is supposed that dusty gas be a mixture of perfect gas and micro solid particles. Equilibrium flow condition is supposed to be maintained and energy is varying which is continuously supplied by inner expanding surface. It is found that similarity solution exists under the constant initial density. The comparison between the solutions obtained in gravitating and non-gravitating medium is done. It is found that the shock strength increases with an increase in gravitational parameter or ratio of the density of solid particles to the initial density of the gas, whereas an increase in the radiation parameter has decaying effect on the shock waves.

关键词： spherical shock wave dusty gas similarity solution gravitational medium Roche model monochromatic radiation